Answer:Your left hand side evaluates to:
m+(−1)mn+(−1)m+(−1)mnp
and your right hand side evaluates to:
m+(−1)mn+(−1)m+np
After eliminating the common terms:
m+(−1)mn from both sides, we are left with showing:
(−1)m+(−1)mnp=(−1)m+np
If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:
(−1)(−1)mn=(−1)n.
It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:
(−1)(−1)mn=(−1)−n=1(−1)n
Multiplying both sides by (−1)n then yields:
1=(−1)2n=[(−1)n]2 which is always true, no matter what n is
She walked 1/10 of a mile in one minute
work: 1/2 a mile is 0.5 and 0.5 divided by 5 is 0.1 so you get 0.1 mile for each minute
F(5) = -2 * 5 + 1 = -9
the pair is (5, -9)
Answer:
Step-by-step explanation:
we are asked to find the volume of solid that lies within both the cylinder

and
the sphere
Conversion from rectangular to cylindrical is

|J| =r
In cylindrical coordinates the volume is bounded by the cylinder r=5 and

Hence we can write volume as

$2.99/20 will be the unit price of soup. Then the amount Riley has to pay for 12 ounce would be 12*2.99/20=$1.794